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Simplifying -5x + 6(4x + 15) = 242 Reorder the terms: -5x + 6(15 + 4x) = 242 -5x + (15 * 6 + 4x * 6) = 242 -5x + (90 + 24x) = 242 Reorder the terms: 90 + -5x + 24x = 242 Combine like terms: -5x + 24x = 19x 90 + 19x = 242 Solving 90 + 19x = 242 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + 19x = 242 + -90 Combine like terms: 90 + -90 = 0 0 + 19x = 242 + -90 19x = 242 + -90 Combine like terms: 242 + -90 = 152 19x = 152 Divide each side by '19'. x = 8 Simplifying x = 8
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